Subtraction of Decimal Fractions

Subtraction of Decimal Fractions – Definition, Facts, Examples | How to Subtract Decimal Fractions?

In this article, you will learn how to subtract decimal fractions without any confusion. Subtraction of decimal fractions is a bit difficult when compared to performing normal subtraction on the whole numbers. Before we learn how to subtract two or more given decimal fractions, first, let us understand decimals.

The decimal is used to represent a number with greater precision than integers or whole numbers. In between the numbers use a dot, that is said to be a decimal point. Decimals are nothing but the simplified form of fractions. We will discuss the Subtraction of decimal fractions, How to subtract decimal fractions, Some example problems on Subtraction of decimal fractions, and so on.

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What is meant by Subtraction of Decimal Fractions?

Subtraction of decimal numbers is analogous to subtraction of whole numbers. We have to convert them to decimals and place the numbers vertically one below the other that the point lies exactly on the vertical line. The subtraction of decimals involves subtracting the decimal number with a smaller number part from the decimal number with a greater whole number part.

How to Subtract Decimal Fractions?

The following are the simple steps that help you learn how to subtract decimals easily. They are as follows

  • First, write the decimal numbers one under the other number and line up the decimal points.
  • Next, convert the, unlike decimals into like decimals. Depending on the maximum number of digits by padding with required zeros next to the decimal for any number of decimals.
  • If there are two decimal numbers to be added and one number has three digits after the decimal point, and the other number has one digit after the decimal point, we add two zeros to the latter number to form the number of digits after the decimal place equal for both numbers. This is referred to as padding with zeros.
  • Write the smaller decimal number under the larger decimal number within the column.
  • Arrange the decimals in a way that the decimals of an equivalent place lie an equivalent the same column.
  • Subtract the numbers within the columns from the right as in regular subtraction.
  • Remember to put the decimal point within the result almost like the decimal places above it.

Decimal Fractions Subtraction Questions

Problem 1:
Subtract the decimal 13.34 from 35.421?

Solution:
Given the values are 35.42, and 13.34
Now, we will find the value using the subtraction method.
Subtraction means removing or minus the digits from one number to another number.
But before subtracting decimals convert them to like decimals by padding with zeros.
So, the maximum number of decimal places among the given decimal numbers is 3. So, annex with zeros so as to obtain 3 places of decimals.
35.421 âž™ 35.421
13.34 âž™ 13.340
Subtract the Smaller Number from the Larger Number. Align the Decimal Numbers Lined up in order that the decimals of the same place lie on the same column. You can take borrow as usual
35.421
13.340
(-)
——–—
22.081
——–—
Therefore, after subtraction, the value is 22.081.

Problem 2:
Find the value of 10.006 – 0.003?

Solution:
As given in the question, the values are 10.006 and 0.003
We have to find the value using the subtraction law.
So, after performing subtraction the value is,
10.006 – 0.070 = 9.936
Therefore, the value of 10.006 – 0.070 is 9.936.

Problem 3:
Subtract 6.1 – 0.36 and write the final value?

Solution:
Given the decimal values,
Now, we have to find the final value.
The maximum number of decimal places among the given decimals is 2. So Pad with a required number of zeros to form them like decimals.
So, converting them to like decimals we get,
6.1 âž™ 6.10
0.36 âž™ 0.36
After, subtracting the smaller number from the larger number we have,
6.10 – 0.36 = 5.74
Thus, the given decimal value’s final value is 5.74.

Problem 4:
Subtract 16.042 from 52.426 and write the value?

Solution:
Given the decimals values,
In this, all the decimal fractions are in like decimals.
Now, subtract as usual,

Thus the value of given decimal digits is 36.384.

Problem 5:
Koushik wants to go to the park which is 130.40 km. Koushik stops driving the car after driving 85.70 km, because of the traffic jam. How much distance he has to travel for going to the park?
Solution:
Given,
Koushik wants to go to the park at a distance = 130.40 km
Koushik traveled by car up to the distance = 85.70 km
Using the subtraction method, we will find the remaining traveled distance of Koushik.
So, the distance Koushik has to travel for going to the park is,
130.40 km – 85.70 km = 44.70 km
Therefore, Koushik has to travel 44.70 km for going to the park.

FAQ’s on Subtracting Decimal Fractions

1. What should be done first in subtracting decimals?

The first step to be done while subtracting decimals is to line up the decimal points so that similar place values are lined up.

2. How to do subtraction of decimal fractions?

The subtraction of decimals involves the below-given steps:
Step 1: First, the numbers are padded with zero depends upon the maximum digits present after the decimal point for any of the numbers.
Step 2: The numbers are lined up vertically along with each other.
Step 3: Finally, subtract the decimal numbers the same as to whole numbers and place the decimal point accordingly.

3. How to subtract a decimal number from a whole number?

To subtract a decimal number from a whole number, we must add the decimal point to the whole number and add zeros as many as required depending on the given decimal number.

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